On l-1 riesz summability of the inverse Fourier integral
| Autor: | Yuan Xu, Zhongkai Li, Hubert Berens |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Mathematics(all)
Mathematics::Functional Analysis Riesz representation theorem Riesz potential General Mathematics Fourier inversion theorem Poisson kernel Mathematical analysis Mathematics::Classical Analysis and ODEs Fractional Fourier transform Riesz transform symbols.namesake Fourier transform M. Riesz extension theorem symbols Mathematics |
| Zdroj: | Indagationes Mathematicae. 12:41-53 |
| ISSN: | 0019-3577 |
| DOI: | 10.1016/s0019-3577(01)80004-5 |
| Popis: | On L( d), d ϵ , the l-1 Riesz (R, δ) means of the inverse Fourier transform converge almost everywhere provided δ > 0. The proof uses a new representation of the l-1 Riesz kernel derived from the l-1 Poisson kernel. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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